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Byju's Answer
Standard XII
Mathematics
Parametric Differentiation
If cosx=t√1...
Question
If
cos
x
=
t
√
1
+
t
2
and
sin
y
=
1
√
1
+
t
2
then prove that
d
y
d
x
=
1
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Solution
sin
y
=
1
√
1
+
t
2
sin
2
y
=
1
1
+
t
2
cos
2
y
=
t
2
1
+
t
2
cos
y
=
t
√
1
+
t
2
c
o
s
x
=
cos
y
y
=
x
d
y
=
d
x
d
y
d
x
=
1
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0
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